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givi [52]
3 years ago
13

The terms, coefficients, and constants in the expression 3x+10

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
4 0

Answer:

Terms = x

Coefficients = 3

Constants = 10

Hope this helped! :)

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Suppose theta is an angle in the standard position whose terminal side is in quadrant 4 and cot theta = -6/7. find the exact val
zimovet [89]

First off, let's notice that the angle is in the IV Quadrant, where sine is negative and the cosine is positive, likewise the opposite and adjacent angles respectively.

Also let's bear in mind that the hypotenuse is never negative, since it's simply just a radius unit.

\bf cot(\theta )=\cfrac{\stackrel{adjacent}{6}}{\stackrel{opposite}{-7}}\qquad \impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{6^2+(-7)^2}\implies c=\sqrt{36+49}\implies c=\sqrt{85} \\\\[-0.35em] ~\dotfill

\bf tan(\theta)=\cfrac{\stackrel{opposite}{-7}}{\stackrel{adjacent}{6}} ~\hfill csc(\theta)=\cfrac{\stackrel{hypotenuse}{\sqrt{85}}}{\stackrel{opposite}{-7}} ~\hfill sec(\theta)=\cfrac{\stackrel{hypotenuse}{\sqrt{85}}}{\stackrel{adjacent}{6}} \\\\\\ sin(\theta)=\cfrac{\stackrel{opposite}{-7}}{\stackrel{hypotenuse}{\sqrt{85}}}\implies \stackrel{\textit{and rationalizing the denominator}}{sin(\theta)=\cfrac{-7}{\sqrt{85}}\cdot \cfrac{\sqrt{85}}{\sqrt{85}}\implies sin(\theta)=-\cfrac{7\sqrt{85}}{85}}

\bf cos(\theta)=\cfrac{\stackrel{adjacent}{6}}{\stackrel{hypotenuse}{\sqrt{85}}}\implies \stackrel{\textit{and rationalizing the denominator}}{cos(\theta)=\cfrac{6}{\sqrt{85}}\cdot \cfrac{\sqrt{85}}{\sqrt{85}}\implies cos(\theta)=\cfrac{6\sqrt{85}}{85}}

6 0
2 years ago
If the selling price of a home is $505,000 with a 15% down payment, what is the amount of the down payment?$75,000$75,500$75,750
AlladinOne [14]

Answer

the down payment is $75,750

Explanation

The selling price of a house = $505, 000

The person made a 15% down payment

Down payment = 15% x $505, 000

Down payment = 0.15 x $505, 000

Down payment = $75, 750

Therefore, the down payment is $75,750

5 0
1 year ago
1q - 2x = 7<br> What is x<br> please im so stuck on this i will give brainliest
Tems11 [23]

Answer: x

=

4

Step-by-step explanation:

8 0
2 years ago
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Find the area of 3/4 of the circle (radius = 6)<br> i need the awncer please
kobusy [5.1K]

Answer:

28.26

Step-by-step explanation:

I hope this helps!

3 0
3 years ago
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$570, 2%, 6 months <br> -<br> Help, I don’t get how to do it.
Phantasy [73]

Answer:

$641.91

Step-by-step explanation:

A(t) = 570(1+0.02)^6

8 0
3 years ago
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